Finding the Fourth Proportional to 2,743.51, 3,786.38 and 1,564.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.51 : 3,786.38 = 1,564.78 : x
2. Step 2: Convert to fraction form
   2,743.51/3,786.38 = 1,564.78/x
3. Step 3: Cross multiply
   2,743.51x = 3,786.38 × 1,564.78
4. Step 4: Simplify right side
   2,743.51x = 5,924,851.70
5. Step 5: Solve for x
   x = 5,924,851.70/2,743.51
6. Step 6: Final answer
   x = 2,159.59